Suppose that the DE dy = y(90 – y) – 2000 dt models a logistic equation with harvesting, where y(t) represents a tilapia popu lake at time t, measured in years.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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y(t) =
d) The stable critical point is
y =
while the unstable one is
e) Using the fourth order Runge-Kutta Method, with a step-size of h =
1
to approximate
12'
y() if y(0) = 55, yields:
ko1
Transcribed Image Text:y(t) = d) The stable critical point is y = while the unstable one is e) Using the fourth order Runge-Kutta Method, with a step-size of h = 1 to approximate 12' y() if y(0) = 55, yields: ko1
Suppose that the DE
dy
y(90 – y) – 2000
dt
-
models a logistic equation with harvesting, where y (t) represents a tilapia population in a
lake at time t, measured in years.
a) The per capita growth rate of the tilapia population is
b) The rate at which the tilapia is harvested is
c) The limiting and threshold solutions are, respectively,
y(t) =
and
Transcribed Image Text:Suppose that the DE dy y(90 – y) – 2000 dt - models a logistic equation with harvesting, where y (t) represents a tilapia population in a lake at time t, measured in years. a) The per capita growth rate of the tilapia population is b) The rate at which the tilapia is harvested is c) The limiting and threshold solutions are, respectively, y(t) = and
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